A large rectangular movie screen in an IMAX theater has an area of 9,064 square ft. Find the dimensions of the screen if it is 15 feet longer than it is wide.

Question

Pleas help me solve this problem.

Answer 1

Let w=width then the length is w+15 and the area w(w+15)=9064 sq ft.

So w²+15w-9064=0. It happens that two factors of 9064 are 88 and 103, which differ by 15, so we can factorise the quadratic:

(w+103)(w-88)=0. So w=88 and w+15=103.

So the dimensions are 88' by 103'.